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There is no largest number. One simple way to consider this is to look at the function:
f(x) = x + 1
Pick any number, and plug it into that function. No matter what number you plug in, the function will always give you a number that is one larger than the previous one. It doesn't matter how big "x" is, there will always be an "x + 1" value, which will always be larger than x. This is a concept we refer to as infinity, which is usually represented with the symbol ∞. It is important to note that infinity is not in itself a number, but the concept of a set of numbers that has no limit.
There is, however, a large finite named number. That would be a googolplexian, which is a one followed by a googolplex of zeroes. A googolplex itself is a one followed by a googol of zeroes, and a googol is a one followed by a hundred zeroes. In other words:
1 googol = 1 × 10100
1 googolplex = 1 × 10googol or 1 x 10^(10^100)
1 googolplexian = 1 × 10googolplex or 1 x 10^(10^(10^100))
There are also large numbers that can only be expressed as complex exponentials, such as Graham's Number. Once again though, none of these are the largest number that exists, as there is no such thing. You need merely to add another value on top to reach a larger number.
The largest known number currently is Rayo's number in conclusion.
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How long is the largest known prime number?
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As of August 2017, the largest known prime number is 2^74,207,281 − 1, a number with 22,338,618digits.I attached a link with the 100 largest known prime numbers, there you can see the number of digits.
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